The first tip i would give is give up any notion of being 60 in a week or less.

The only other tips i can give is:
-Level 1, 2 and 3 Hunts awards around 500k xp. Get a friend to help you with the higher level ones, i dont believe they're level locked but haven't tested yet. The XP rewards may also be affected by Armory bonuses, pushing that total up to near 750k.
-Roulettes! Do High Level and Low Level every day, that should net you about another 400~k xp per day.
-FATEs. Some of the bigger FATEs i've done have award 40 - 60k xp, while being part of a chain of 2 to 3 other FATEs giving 20k each. Armory Bonus again here, making it very good XP.
-Standard Dungeon Farm. Be Queued while doing FATEs and Hunts. Do not forget FC Buffs and food
-Temple Leves. The XP here is also affected by Armory Bonus, and may be buffed in the near future, as Square probably did not want to accidentally make Temple Leves the best leveling course for a first Job.

That's all i have for you. Just abandon any expectations of a rapid rise to 60.